14141034000 has 320 divisors, whose sum is σ = 50880910080. Its totient is φ = 3754252800.

The previous prime is 14141033971. The next prime is 14141034007. The reversal of 14141034000 is 43014141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14141034007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16577574 + ... + 16578426.

It is an arithmetic number, because the mean of its divisors is an integer number (159002844).

Almost surely, 2^14141034000 is an apocalyptic number.

14141034000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14141034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25440455040).

14141034000 is an abundant number, since it is smaller than the sum of its proper divisors (36739876080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14141034000 is a wasteful number, since it uses less digits than its factorization.

14141034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14141034000 its reverse (43014141), we get a palindrome (14184048141).

The spelling of 14141034000 in words is "fourteen billion, one hundred forty-one million, thirty-four thousand".